Infinity-categorical universal properties of quotients and localizations of A-infinity-categories
Center for Geometry and Physics (IBS), Pohang, Korea（韩国浦项几何与物理中心（IBS））；Department of Mathematics, POSTECH, Pohang Korea（韩国浦项科学技术大学数学系）；Department of Mathematics, Texas State University（德克萨斯州立大学数学系）
我们证明了某些动手的A-infinity范畴构造在A-infinity范畴的无穷范畴中满足期望的universal properties。对于足够cofibrant的A-infinity范畴，两个A-infinity范畴的商模型（由Lyubashenko-Manzyuk和Lyubashenko-Ovisienko构造）以及一个局部化的模型（由Ganatra-Pardon-Shende使用）满足相关的universal properties。我们在这里的结果在 companion work 中应用于证明Teleman在2014年ICM上的一个猜想的Liouville版本。
英文摘要：
We show that certain hands-on A-infinity-categorical constructions satisfy desirable universal properties in the infinity-category of A-infinity categories. For sufficiently cofibrant A-infinity categories, two models for quotients of A-infinity categories (as constructed by Lyubashenko-Manzyuk and Lyubashenko-Ovisienko), and a model for localizations (as used by Ganatra-Pardon-Shende), satisfy the relevant universal properties. We apply the results here in a companion work to prove a Liouville version of a conjecture of Teleman from the 2014 ICM.
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